斜齿轮副结构参数灵敏度分析

Analysis of the parameter sensitivity of helical gear pairs

以机械传动系统中的斜齿轮啮合为研究对象,在考虑时变刚度、齿侧间隙和啮合误差的情况下,建立了十自由度斜齿轮非线性振动数学模型。以斜齿轮结构参数作为灵敏度分析参数,采用数值分析方法分别研究了斜齿轮系统振动加速度均方根值对齿轮质量、支撑刚度和支撑阻尼的灵敏度。结果表明:主、被动轮横向(y向)振动对各参数敏感度较低,横向振动(x向)与被动轮扭转振动对质量参数、刚度参数、阻尼参数较为敏感,被动轮扭转振动受到阻尼的影响很大,灵敏度在扭转振动固有频率处变化较大。

A nonlinear vibration mathematical model of ten degrees of freedom of a helical gear system was established,in which time-varying meshing stiffness,backlash and meshing errors were considered. The structural parameters of the helical gear were employed as the parameters of sensitivity analysis to investigate the vibration acceleration square root value sensitivity of the helical gear system to gear mass,stiffness of bearing pedestal and damping via numerical analysis method. The results show that the horizontal vibration and driven gear tortional vibration are more sensitive to the parameters of the gear,mass,stiffness,while the tortional vibration of the driven gear is sensitive to the damping with the sensitivity varying considerably at the natural frequency of torsional vibration.